Math, asked by adarshdwivedi0726, 9 months ago

rationalize the denominator of 2/√3-1​

Answers

Answered by sahevs
13

Answer:

 \sqrt{3 + 1}

Answered by Anonymous
55

Answer:

 =  \frac{2}{ \sqrt{3} - 1 }  \\  \\  =  \frac{2( \sqrt{3} + 1) }{( \sqrt{3} - 1)( \sqrt{3}  + 1) }  \\  \\  =  \frac{2 \sqrt{3}  + 2}{( \sqrt{3}) {}^{2} - (1) {}^{2}   }  \\   \\  =  \frac{2 \sqrt{3}  + 2}{3 - 1}  \\  \\  =  \frac{2 \sqrt{3}  + 2}{2}  \\  \\  =  \frac{2( \sqrt{3} + 1) }{2}  \\  \\  =  \sqrt{3} + 1

Step-by-step explanation:

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